How long after your water broke did you start progressing?

If you had your water broke at 39 weeks to help jump start labor, how long until you started progressing? I’m 39 wks tomorrow, by doc swept my membranes yesterday, and the hospital told me last night that if I were 39 wks, they could break my water but not until then. Last night I was having contractions so I went to get checked but I wasn’t dilating. I’m at 3cm right now. Thoughts?

They’d likely put you on drip to help speed things up. Mine was next day had water’s broke 2cm but was 37week and induction.
Had him early hrs next day